"Ore's theorem" meaning in English

{
  "etymology_text": "Proved in 1960 by Norwegian mathematician Øystein Ore.",
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      "glosses": [
        "A theorem that considers the sum of the degrees of pairs of non-adjacent vertices: if every such pair has a sum that at least equals the total number of vertices in the graph, then the graph is Hamiltonian."
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        "(graph theory) A theorem that considers the sum of the degrees of pairs of non-adjacent vertices: if every such pair has a sum that at least equals the total number of vertices in the graph, then the graph is Hamiltonian."
      ],
      "related": [
        {
          "word": "Ore condition"
        }
      ],
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        "graph-theory",
        "mathematics",
        "sciences"
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        "Ore's theorem"
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  "word": "Ore's theorem"
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{
  "etymology_text": "Proved in 1960 by Norwegian mathematician Øystein Ore.",
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  "lang_code": "en",
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  "related": [
    {
      "word": "Ore condition"
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      "glosses": [
        "A theorem that considers the sum of the degrees of pairs of non-adjacent vertices: if every such pair has a sum that at least equals the total number of vertices in the graph, then the graph is Hamiltonian."
      ],
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          "graph theory",
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          "sum",
          "sum"
        ],
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          "pair",
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        "(graph theory) A theorem that considers the sum of the degrees of pairs of non-adjacent vertices: if every such pair has a sum that at least equals the total number of vertices in the graph, then the graph is Hamiltonian."
      ],
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        "graph-theory",
        "mathematics",
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